Can someone check this for me? Thanks!

Directions: Two integers from 1 through 40 are chosen by a random number generator.
Write your answer as a fraction in simplest form a/b.

P(both numbers are less than 30) (my answer: 9/16)

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

< 30 = 1-29

29/40 * (29-1)/(40-1) ≠ 9/16

multiply and put in simpliest form

5/7 * 3/13

To check whether your answer of 9/16 for the probability that both numbers are less than 30 is correct, we first need to determine the total number of possible outcomes.

Since two integers from 1 through 40 are chosen, the total number of possible outcomes is given by 40 * 40 = 1600.

Next, let's determine the number of favorable outcomes, i.e., the outcomes where both numbers are less than 30. Since there are 29 integers that are less than 30 (1, 2, 3, ..., 29), the number of favorable outcomes is given by 29 * 29 = 841.

The probability that both numbers are less than 30 is then given by the number of favorable outcomes divided by the total number of possible outcomes:

P(both numbers are less than 30) = 841/1600 ≈ 0.525625

So, your answer of 9/16 is not correct. The correct answer is approximately 0.525625.

To solve this problem, you need to understand how to calculate probabilities. In this case, you needed to determine the total number of possible outcomes and the number of favorable outcomes. Dividing the number of favorable outcomes by the total number of possible outcomes gives you the probability.